A man 2 m high observes the angles of elevation of the rops of house and a window on its sode are 45 and 60 respectively. If the top is at height of 12m above the ground , find the height.
Answer:
The height of the window = x + 2 = 4.23 + 2= 6.23m
Step-by-step explanation:
The angle of elevation of the top of the house and the window is 60 and 45 degree.
We can proceed as drawing a diagram as a man of height 2m and a building of total height 12m.
draw a horizontal line along the height of a man so that it touches building at height 2mtill the window height we assume its height as 'x' from the man's height.distance till the top from the window will be 'y'we don't know the distance between man and the building let it be 'b'
[tex]\frac{x}{b}=tan 45[/tex] =1
x=b .............(1)
total height of the building is given as 12m
x + y + 2=12
x + y = 10 .....................(2)
[tex]\frac{x+y}{b} =\frac{x+y}{x }[/tex] = tan 60
[tex]\frac{10}{x} = \sqrt{3}[/tex]
x = [tex]\frac{10}{\sqrt{3} }[/tex] ≈ 5.77m
y = 10 - [tex]\frac{10}{\sqrt{3} }[/tex]
y= 10(1-[tex]\frac{1}{\sqrt{3} }[/tex] ) ≈ 4.23m
The height of the window = x + 2 = 4.23 + 2= 6.23m
PLEASE ANSWER THESE 2 QUESTIONS!!!!!! THIS IS A MAJOR GRADE!!!!!!!!!!!!!!!!!
Answer:
I cant see the problems
Step-by-step explanation:
The product of a number and negative 7/10 is 1/2 what is the number
Answer:
5/7
Step-by-step explanation
The product of a number and negative 7/10 is 1/2 can be written as 1/2=(7/10)x, with this equation, multiply by the reciprocal, 10/7, to make the right side of the equation just x. On the left side, multiply 1/2 by 10/7 because when you do something on one side, you must do it on the other. 1/2 times 10/7 equals 5/7. Leaving you with x=5/7
Will mark Brainliest!!
Part A: An archer shoots an arrow into the sky where the motion of the arrow can be modeled by the equation
() = −16^2 + 80 where t is time in seconds and f(t) is height in feet. Find how long it will take the
arrow to hit the ground using an algebraic method. Show all of your reasoning/steps used with this algebraic
method.
Part B: Using the information in Part A, find how high the arrow will go at its maximum height, and how
long it takes for this to occur using an algebraic method. Show all of your reasoning used with this
algebraic method
Answer:
64 higene
Step-by-step explanation:
16 morderate 20 9 oxygen
is 0.25 greater than 3/8
Answer:
no 0.250 is not greater than 3/8
Step-by-step explanation:
because when you make 3/8 into a decimal it becomes 0.375 so no
Answer:
No. 0.25 is not greater than 3/8
Step-by-step explanation:
Convert 3/8 to a decimal.
1/8 = 0.125 in decimal form.
Multiply this by 3.
3/8 = 0.375.
0.375 > 0.250
Your answer will be 0.25 < 3/8
share £40 in the ratio 1:3:4
Answer:
hi
Step-by-step explanation:
1x+3x+4x= £40
1. 8x=£40
2. X=40/5
3. X=£5
1×£5= £5
3×£5= £15
4×£5= £20
each will get
£5
£15
£20
Hope It Helps You
A circle has a diameter of 26 mm. What Is Its circumference?
Use 3.14 for 1, and do not round your answer. Be sure to Include the correct unit in your answer
Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = –8x + x2 + 7 ?
Answer:
the answer is 6x or by and ax6x 9x
Step-by-step explanation:
10 x 10= 100
mbnv nmvbnhm
mb cvnmbnbn
Answer:
well your ans is right over there...
Step-by-step explanation:
thank you!!
Answer:
Yeah...10*10 = 100so what?A mudslide left 42 acre-feet of mud in a valley. The mud is being
removed at the rate of 5 acre-feet per day.
Answer:
8.4 days
Step-by-step explanation:
I'm not sure what the question is, but if it's how many days it would take to remove all the mud, you divide 42 by 5 and get 8.4.
Answer the questions. All help needed.
1. Multiply all the x and y by 2
M (-6,4)
A (-4,6)
T (-2,4)
H (-4,2)
2. They stayed in the same quadrants. The x and y values shifted.
3. Scale factor of 1/2
4. .....mayhaps?
The difference 3 1/2 minus 1 1/2 must be
between and
Answer:
2
Step-by-step explanation:
3 1/2 - 1 1/2 = 2
PLS GIVE BRAINLIEST
PLEASE HELPP!!!! 30 POINTS!!!
In Triangle XYZ, A is the midpoint of XY, B is the midpoint of YZ, and C is the midpoint of XZ.
Also, AY = 7. BZ = 8, and XZ = 18. What is the perimeter of Triangle ABC?
Make sure you explain why and show all your work.
Answer:
The perimeter of triangle ABC is 33.
Explanation:
AY = 7 is half of the line of XY so we would then multiply 7 by 2:
7 x 2 = 14
and we would then do this to all of our numbers:
8 x 2 = 16
18 x 2 = 36
now we make a full equation for the answer of the perimeter of triangle XYZ:
14 + 16 + 36 = 66
66 is the perimeter of triangle XYZ.
We would then divide this answer by 2 to find the perimeter of ABC because it is half of XYZ:
66 ÷ 2 = 33
The perimeter of triangle ABC is 33
Hope this helps! :)
Evaluate the expression when a=4 and b=43
complete the missing value in the solutuion to the equation
Answer:
Step-by-step explanation:
5x-2y=30
Given x=8
5×8-2y=30
-2y=30-40
y=5
. Your friend claims that it is not possible to have a glide reflection if you have one translation followed by two reflections. Is your friend correct? Explain your reasoning.
Answer:
Yes my friend is correct
Step-by-step explanation:
You cannot have a glide reflection if you have one translation which is followed by two ( 2 ) reflections .
This is because Glide reflection is made up of one ( 1 ) reflection in line with a single translation along the same line
Glide reflection is known as an opposite isometry of the Euclidean plane
Glide reflection is a single operation that involves a reflection over a line and followed by a translation.
Your friend's claim is correct.
From the definition, we can deduce that glide reflection consists of:
1 reflection1 translationThis means that: 1 translation and 2 reflections is not a glide reflection
Hence, your friend's claim is correct.
Read more about glide reflection at:
https://brainly.com/question/2975847
solve: -3 |x-3| = -6
Answer:
x = 5
Step-by-step explanation:
-3 * (x-3) = -6
3x+9 = -6 (divide by 3)
-x + 3 = -2 (minus 3)
-x = -5 (multiply by -1)
x = 5
Answer & Step-by-step explanation:
Select the correct answer.
What is the solution to this equation?
4(^3 sqrt x – 2) + 1 = 9
A. 10
B. 6
C. 0
D. 8
Answer:
I got B too so I sure could be right answer but if it's not then I so sorry. B. 6
The solution of the given equation [tex](4)^{3\sqrt{x} -2}[/tex] + 1 = 9 will be x = 1.08.
What is a equation?An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
Given is the following equation -
[tex](4)^{3\sqrt{x} -2}[/tex] + 1 = 9
The given equation is -
[tex](4)^{3\sqrt{x} -2}[/tex] + 1 = 9
[tex](4)^{3\sqrt{x} -2}[/tex] = 8
Assume 3[tex]\sqrt{x}[/tex] = n. Then, we can write the equation as -
(4)ⁿ ⁻ ² = 8
(4)ⁿ ÷ (4)² = 8
(4)ⁿ x 1/(4)² = 8
(4)ⁿ = 8 x 16
(2)²ⁿ = (2)³ x (2)⁴
2n = 3 + 4
2n = 7
n = 7/2
3[tex]\sqrt{x}[/tex] = 7/2
[tex]\sqrt{x}[/tex] = 7/6
x = 1.08
Therefore, the solution of the given equation [tex](4)^{3\sqrt{x} -2}[/tex] + 1 = 9 will be
x = 1.08.
To solve more questions on solving equations, visit the link below-
https://brainly.com/question/12113848
#SPJ2
For the members of the golf club the ratio men:children = 11:2. The ratio women:children is 10:3. Find the ration men:women
Find the slope of the line between the points (-2, 7) and (10, 3)
Answer:
m = -1/3
Step-by-step explanation:
Help me out here...........
Answer:
false cause if they both were added it would be 2/9ths
Step-by-step explanation:
answer:
JUST READ EXPLANATION!!!
Step-by-step explanation:
well, 1/3 divided by 3 =1/9
Two years ago, a car was valued at $24,000. This year, the value of the car is $23,160. What was the percent decrease in the value of the car?
Enter the correct answer in the box.
Answer:
3.5%
Step-by-step explanation:
The value of the car decreased by 3.5%. Hope it helps!
The figure below shows the first 3 steps in the construction of a Sierpinski Triangle.
1 equilateral 3 congruent 9 congruent
triangle
equilateral equilateral
triangles
triangles
Which property explains why each of the 9 small triangles in step 3 is similar to the large triangle in step 1?
A. The side-side property of congruent triangles can be used because all the sides of an equilateral triangle are similar.
B. The side-side property of similar triangles can be used because all the sides of an equilateral triangle are congruent.
C. The angle-angle property of congruent triangles can be used because all the angles of an equilateral triangle are similar.
D. The angle-angle property of similar triangles can be used because all the angles of an equilateral triangle are congruent.
ок
Answer:
c
Step-by-step explanation:
x/9 - 1 = 2 solve for x
Answer: x=27
Step-by-step explanation:
Two-thirds of the T-shirts in a T-shirt shop are blue. Three-sevenths of those T-shirts are on sale.
One-half of the blue T-shirts that are on sale are size medium. What fraction of the shop's T-shirts are
blue T-shirts that are on sale and are size medium? Explain.
Answer:
1/7
Step-by-step explanation:
Of all the shirts, 2/3 of the t-shirts are blue.
Of the blue shirts, 3/7 are on sale. Of all the shirts, 2/7 are on sale and blue.
[tex]\frac{2}{3}*\frac{3}{7} =\frac{2}{7}[/tex]
Of the blue shirts on sale, 1/2 are size medium. Of all the shirts, 1/7 are on sale, blue, and size medium.
[tex]\frac{2}{7} *\frac{1}{2} =\frac{1}{7}[/tex]
Pls someone help I am in a hurry:
(2pq + 3) + (pq + 6p2 + 3)
Rewrite as a unit rate
Answer:
I think its letter A
Step-by-step explanation:
hoped it helped
Sum of Angles
Find the value of x and the measure of every angle.
It is Geometry
Combine and simplify the following radical expression. (2^3 square root 12)(3^3 square root 2)
Answer:
(2^3 square root 12)(3^3 square root 2)(32 square root)
Step-by-step explanation:
i lie
Answer:
432
Step-by-step explanation:
I checked it trust me
can anyone help me with this question?
Answer:
The answer is D, or 5/7
Answer:
The slope is 5/7
Step-by-step explanation:
From a point to get to the next point, you would need to go 5 up and 7 to the right in this graph.